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Antiderivatives Practice Flashcards | StudBud
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Antiderivatives Practice
Antiderivatives Practice
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1
Find the anti-derivative of 360000x
8
-28960x
4
+92x
40000x9-5792x5+46x2+C
C+2x64+5x2975-9x00004
4000x8-5927x5+64x2
-40000x9+5792x5-46x2-C
2
Find the antiderivative of -cscxcotx
-cscx + C
cotx + C
cscx + C
-cotx + C
3
Find the anti-derivative of 1/(1+x
2
)
cot-1(x)+C
tan-1(x)+C
sec-1(x)+C
csc-1(x)+C
4
Find the anti-derivative of \frac{1}{x\ln5}
log5x +C
log(5x) +C
5lnx +C
ln(5x) +C
5
Find the anti-derivative of (x+5)
7
u8/8
((x+5)6/6)+C
((x+5)8/8)+C
7(x+5)6+C
6
Find the anti-derivative of 2?
2x+C
Bananas
x2+C
C
7
Find the anti-derivative of x
4
+3x
2
+6
(x5/5)+x3+6x+C
4x3+6x+C
-36
(x5/5)-x3-6x+C
8
Choose the formula for the area of a trapezoid.
\frac{h\left(b_1+b_2\right)}{2}
h\left(b_1+b_2\right)
\frac{\left(b_1+b_2\right)}{2}
\frac{bh}{2}
9
Find the anti-derivative of sec
2
(x)
-tan(x)+C
sec(x)cot(x)+C
cot(x)+C
tan(x)+C
10
Find the antiderivative of e
4x
4e4x + C
\frac{e^{4x}}{4}+C
\frac{e^x}{4}+C
e4x + C
11
Find the anti-derivative of cos(x)
sin(x)+C
tan(x)+C
-sin(x)+C
-cos(x)+C
12
What is the anti-derivative of x
2
?
(x3/3)+C
2x+C
(x2/2)+C
x3+C
13
Find the antiderivative of 5\sqrt{x}
\frac{10x^{\frac{3}{2}}}{3}+C
\frac{15x^{\frac{3}{2}}}{2}+C
10x^{\frac{-1}{2}}+C
\frac{5x^{\frac{-1}{2}}}{2}+C
14
Find the anti-derivative of 1/√(1-x
2
)
tan-1(x)+C
cos-1(x)+C
sec-1(x)+C
sin-1(x)+C
15
Find the anti-derivative of 1/x
ln∣x∣+C
ex+C
(1/x2)+C
ln(x)
16
Find the anti-derivative of 3
x
3x/ln3 + C
3x + C
ln3/3x + C
x3x-1 + C
